$A$ magnetic intensity of $500 \,A/m$ produces a magnetic flux of $2.4 \times 10^{-5} \,Wb$ in an iron bar of cross-sectional area $0.4 \,cm^2$. The magnetic permeability of the iron bar is

  • A
    $2.4 \times 10^{-3} \,T \cdot m/A$
  • B
    $1.2 \times 10^{-3} \,T \cdot m/A$
  • C
    $2.4 \times 10^{-4} \,T \cdot m/A$
  • D
    $1.2 \times 10^{-4} \,T \cdot m/A$

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The magnetic moment produced in a sample of $2 \text{ g}$ is $8 \times 10^{-7} \text{ A} \cdot \text{m}^2$. If its density is $4 \text{ g/cm}^3$, then the magnetization of the sample is:

$A$ substance has a mass of $0.075 \, kg$ and a density of $7500 \, kg/m^3$. If its magnetic dipole moment is $8 \times 10^{-7} \, A \cdot m^2$,what is its magnetization in $A/m$?

The magnetic induction and the intensity of the magnetic field inside an iron core of an electromagnet are $1 \ Wb \ m^{-2}$ and $150 \ A \ m^{-1}$, respectively. The relative permeability of iron is $(\mu_0 = 4 \pi \times 10^{-7} \ H \ m^{-1})$.

For an isotropic medium,$B$,$\mu_0$,$H$,and $M$ are related as (where $B$,$\mu_0$,$H$,and $M$ have their usual meanings in the context of magnetic materials):

$ \chi_{1} $ and $ \chi_{2} $ are the magnetic susceptibilities of a paramagnetic material at temperatures $ T_{1} \ K $ and $ T_{2} \ K $ respectively. Then:

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